If a vacuum cleaner costs $248 and the sales tax is 6%, how much will the vacuum actually cost?

Answers

Answer 1
Answer: Initial cost of vacuum cleaner is = 248
tax is 6% = 6/100. 248 x 0.06 = 14.88
Thus, final cost of vacuum cleaner is 248 + 14.88 =  $262.88
That is one expensive vacuum cleaner
Answer 2
Answer: The answer is $262.88

First you need to multiply the 6% from $248
$248x.06%= $14.88

Now you know that 6% of $248 is $14.88

Now you just need to add the $14.88 to the Orignal price of the vacuum $248

$248+$14.88= $262.88 <---- Answer

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What is 1 7/9 - 4/9?Express the answer in simplest form
What is ?



Express the answer in simplest form
what is 2 5/12 -(-2 1/6)

Answers

1 7/9 - 4/9

Convert 1 7/9 to an improper fraction:

16/9 - 4/9

Subtract the numerators together:

12/9

Convert to a whole number:

1 1/3
The answer is 1 3/9 which turns in to 1 1/3

If y varies directly as x^2 and y=12 when x=2, find y when x=5

Answers

y=ax^2\n\ny=12\ \ \ and\ \ \ x=2\ \ \ \Rightarrow\ \ \ 12=a\cdot 2^2\ \ \ \Rightarrow\ \ \ a= (4)/(12)= (1)/(3) \n\ny=(1)/(3) x^2\n\nx=5\ \ \ \Rightarrow\ \ \ y=(1)/(3) \cdot5^2=(25)/(3) =8(1)/(3)

Circle 6 numbers for a total of 31.

8,9,9
1,5,8
1,1,1

Answers

(8) (9) (9) (5)
These are the numbers ur welcome

ANSWER your answer is (8) (9) (9) (5)   these numbers are a total of 31 8+9+9+5=31 so if u did 1+1+1+1+5+8 it would =17 now if u did 5+8+9+8+1 would also make 31  and 5+9+9+8 would also make 31  but the question says "circle 6 numbers for a total of 31 " and nun of those have 6 numbers to make 31 5+9+8=22 so 22+1+1+1+1+8=34 let just take 3 of those 1's out and put it all together it is 31 but it only haves 5 numbers and we need 6 so it kinda makes no sence to me but i do have a strong feeling it is (8) (9) (9) (5)

Consider the quadratic function f (x)= x2-5x+6

Answers

a is the coefficient of x² and is 1
b is the coefficient of x and is -5
c is the term without x and is 6
a=1 b=-5 and c=6 its easy

A circle has a radius of 8 inches. Find the area of a sector of the circle if the sector has an arc that measures 45°.2 sq. in.?
8 sq. in.?
16 sq. in.?

Answers

The formula of the sector is expressed in the following expression:
Area = 0.5 * r^2 * theta
where r is the radius of the circle and theta is the angle in which the sector is measured and is expressed in radians. In this case, upon substitution
Area = 0.5*8^2 * 45 degrees * (pi/180 degrees)Area = 25.15 square inches

Answer:

The area of the sector is 8π or 25.133 square inches.

Step-by-step explanation:

The formula for area of a section is

A=\pi r^2* ((\theta)/(360))

Where, r is the radius of the circle and θ is the central angle.

It is given that the radius of the circle is 8 inches and the sector has an arc that measures 45°, it means the central angle is 45°.

A=\pi (8)^2* ((45)/(360))

A=8\pi

A=25.1327412287

A\approx 25.133

Therefore the area of the sector is 8π or 25.133 square inches.

For the following data distribution, find the value that best defines the central tendency of the distribution and characterize the distribution.{23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38}

Answers

To characterize the distribution, the data have to be put into a frequency distribution graph.

After graphing the data, the distribution is a bit skewed to the right although it could be considered symmetrical.
Here are the values that define the central tendency:
mean = 22.79
median = 23
mode = 23

The three are almost equal. So, the distribution can be classified as symmetrical.

Answer:

Step-by-step explanation:

The given data set is:

23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38

firstly arrange the given data set in ascending order, we have

1, 7, 12, 14, 17, 18, 18, 23, 23, 23, 23, 24, 27, 28, 29, 32, 33, 38, 43

Now, Mode is the observation point which occurs frequently in the given data set, thus

Mode=23

Mean is given as:

Mean=(sum of observations)/(total no. of observations)

Mean=(433)/(19)=22.7

Mean23

Median of the given data set is the middle value of the given set, thus

Median=23

Hence, the value that would best describe the central tendency is 23. Since, the values to the left of 23 are more scattered than those to its right, the distribution exhibits negative.